Number Fields and Function Fields: Two Parallel Worlds (Progress in Mathematics)

0 avg rating
( 0 ratings by Goodreads )
 
9780817643973: Number Fields and Function Fields: Two Parallel Worlds (Progress in Mathematics)
View all copies of this ISBN edition:
 
 

Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields

Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives

Aimed at graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections

"synopsis" may belong to another edition of this title.

From the Back Cover:

Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject.

As a deeper understanding of this analogy could have tremendous consequences, the search for a unified approach has become a sort of Holy Grail. The arrival of Arakelov's new geometry that tries to put the archimedean places on a par with the finite ones gave a new impetus and led to spectacular success in Faltings' hands. There are numerous further examples where ideas or techniques from the more geometrically-oriented world of function fields have led to new insights in the more arithmetically-oriented world of number fields, or vice versa.

These invited articles by leading researchers in the field explore various aspects of the parallel worlds of function fields and number fields. Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives.

This volume is aimed at a wide audience of graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections.

Contributors: G. Böckle; T. van den Bogaart; H. Brenner; F. Breuer; K. Conrad; A. Deitmar; C. Deninger; B. Edixhoven; G. Faltings; U. Hartl; R. de Jong; K. Köhler; U. Kühn; J.C. Lagarias; V. Maillot; R. Pink; D. Roessler; and A. Werner.

Review:

From the reviews:

“I thoroughly enjoyed the book; referring to it now and then through the various pages has been a wonderful experience. ... It is a stimulating and well-researched volume, aimed at a wide audience of gradute students, mathematicians, and researchers interested in geometry and arithmetic and their connections. In short, it places a most engaging progress in mathematics volume in the hands of the target audience who will enjoy, not just profit from, the different aspects of the involved parallelism.” (Current Engineering Practice, Vol. 48, 2005-2006)

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 104.00
US$ 28.00

Convert Currency

Shipping: US$ 3.99
Within U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

ISBN 10: 0817643974 ISBN 13: 9780817643973
New Hardcover Quantity Available: 1
Seller:
LIMEROCK BOOKS INC.
(SARASOTA, FL, U.S.A.)
Rating
[?]

Book Description Hardcover. Condition: New. This Book is in Good Condition; Customer Satisfaction Comes First.Delivery Time 4-12 days. 100% Money back Guaranteed!!!. Seller Inventory # 0817643974

More information about this seller | Contact this seller

Buy New
US$ 28.00
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

2.

Gerard B. M. Geer (Editor), Ben J.J. Moonen (Editor), René Schoof (Editor)
Published by Birkhäuser Boston (2005)
ISBN 10: 0817643974 ISBN 13: 9780817643973
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Birkhäuser Boston, 2005. Hardcover. Condition: New. 1. Seller Inventory # DADAX0817643974

More information about this seller | Contact this seller

Buy New
US$ 75.27
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

3.

Published by Birkhäuser (2005)
ISBN 10: 0817643974 ISBN 13: 9780817643973
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Birkhäuser, 2005. Condition: New. book. Seller Inventory # M0817643974

More information about this seller | Contact this seller

Buy New
US$ 86.80
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

4.

Published by Birkhäuser (2005)
ISBN 10: 0817643974 ISBN 13: 9780817643973
New Hardcover Quantity Available: 2
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Birkhäuser, 2005. Hardcover. Condition: New. Never used!. Seller Inventory # P110817643974

More information about this seller | Contact this seller

Buy New
US$ 105.50
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

5.

Published by Springer
ISBN 10: 0817643974 ISBN 13: 9780817643973
New Quantity Available: 1
Print on Demand
Seller:
Majestic Books
(London, ,, United Kingdom)
Rating
[?]

Book Description Springer. Condition: New. pp. xiv + 318 This item is printed on demand. Seller Inventory # 7547633

More information about this seller | Contact this seller

Buy New
US$ 100.39
Convert Currency

Add to Basket

Shipping: US$ 7.29
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

ISBN 10: 0817643974 ISBN 13: 9780817643973
New Quantity Available: 1
Seller:
BennettBooksLtd
(San Diego, CA, U.S.A.)
Rating
[?]

Book Description Condition: New. New. Seller Inventory # S-0817643974

More information about this seller | Contact this seller

Buy New
US$ 122.72
Convert Currency

Add to Basket

Shipping: US$ 4.95
Within U.S.A.
Destination, Rates & Speeds